Question

If the length of a rectangle is decreased by 3m and it's breadth is increased by 3m. Then the
decreased by 2m then it's area is decreased by 10m2. Find the length and breadth of the rectangle.
area of rectangle remains same. However, if it's length is increased by 2m and it's breadth is​

Answer 1

Answer:

thanks a lot

Step-by-step explanation:

Let length and breadth of the rectangle is x and y,

Then as per first condition ,

(x−5)(y+3)=xy−9

xy−5y+3x−15=xy−9

3x−5y=6 −−−−−(1)

As per second condition,

(x+3)(y+2)=xy+67

xy+3y+2x+6=xy+67

2x+3y=61 −−−−−(2)

On multiplying equation (1) by 3 and equation (2) by 5 then adding, we get

9x−15y=18

10x+15y=305

−−−−−−−−−−

19x=323

∴x=17

Hence, the length of the rectangle is 17m.